Computation of isotopisms of algebras over finite fields by means of graph invariants

In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over finite fields to isomorphic graphs. These functors reduce the cost of computation that is usually required to determine whether two algebras are isomorphic. In order to illustrate th...

Full description

Saved in:
Bibliographic Details
Published inJournal of computational and applied mathematics Vol. 318; pp. 307 - 315
Main Authors Falcón, O.J., Falcón, R.M., Núñez, J., Pacheco, A.M., Villar, M.T.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.07.2017
Subjects
Finite field
Graph theory
Isomorphism
Latin square
Finite field
05C30
Isomorphism
Graph theory
Latin square
05C25
05B15
Online AccessGet full text

Cover

More Information
Summary:In this paper we define a pair of faithful functors that map isomorphic and isotopic finite-dimensional algebras over finite fields to isomorphic graphs. These functors reduce the cost of computation that is usually required to determine whether two algebras are isomorphic. In order to illustrate their efficiency, we determine explicitly the classification of two- and three-dimensional partial quasigroup rings.
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2016.09.002